Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
426 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13093089 | C2 | semidirect |
| 2. #13092765 | C2 | semidirect |
| 3. #13092694 | C2 | semidirect |
| 4. #13092612 | C2 | semidirect |
| 5. Q8×C23⋊C8 | C2 | semidirect |
| 6. C4×#67272 | C2 | semidirect |
| 7. D4×Q8×C23 | C2 | semidirect |
| 47. Q8×C23 | D8 | semidirect |
| 49. D4×C23 | #41 | semidirect |
| 78. D4×Q8 | D23 | semidirect |
| 105. C23 | #3358 | semidirect |
| 129. Q8 | #67272 | semidirect |
| 135. D4 | #67292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093089 | 2 |
| #13092765 | 2 |
| #13092694 | 2 |
| #13092612 | 2 |
| Q8×C23⋊C8 | 2 |
| C4×#67272 | 2 |
| D4×Q8×C23 | 2 |
| #3358 | 23 |